I thought people used those list because it cleaned up the websites without breaking them. This is largely breaking the websites, only letting through a very opinionated subset of functionalities.

Even if it's nice for people who want just this, I don't think this has its place on the annoyances lists you mentioned.

No they wouldn't?

Annoyances are mainly for things like cookie popup or copy-protection etc. I doubt companies would argue these are their "core features".

the main timeline is a core feature of twitter for most people.